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What is x squared plus x squared?

Each of the variables is raised to the same power, so they are like terms. In the case of one of the variables being squared and the other cubed, no like terms exist. Since this problem only has like terms, the problem is solved simply by adding the coefficients together. The understood "ones" in front of the variables are the coefficients in this problem.

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How do you find the ratio of sec pi?

In right angle trigonometry, the secant of x is equal to the hypotenuse divided by the adjacent side; this ratio is the reciprocal of the cosine. For this reason, the secant of an angle theta can also be calculated as 1/(cos theta).\nIn the radian system, suppose one has a circle of radius one, centered at the origin (0,0). If an angle theta is made between the positive x axis, the origin and another line that intersects the unit circle at point (x,y), the cosine of theta is equal to the coordinate x, and the sine of theta is equal to the coordinate y.\nA complete 360-degree revolution around ..

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What are orthogonal vectors?

There are various ways to establish whether or not given vectors are perpendicular to each other. One of the ways to examine this relationship is to plot the given points on a graph and join each to the center of origin. If the joining lines form a right angle, the vectors are orthogonal. Another method that one can use is to calculate the cross product of the two vectors.

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How is probability used in the real world?

In a sport like football, there is a coin toss at the start of the game. Coin tosses involve probability because there is a 50/50 chance of either picking heads or tails. Similarly, a board game that has either a spinner or dice deals with the chance of a player either landing on a specific color or rolling either an even or odd number. Weather reports give prediction on weather conditions based on past weather patterns. One example is predicting the strength of hurricane winds and landfall probability.

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What is 0.45 as a fraction?

Simplify the fraction by dividing both the numerator and denominator by the greatest common factor. If there are digits before the decimal, include them as whole numbers in front of the fraction so the answer becomes a mixed number. If the decimal number is negative, the new fraction or mixed number is also negative.

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What is Mad Math?

"Bingo Math" is a memory game with problems on each bingo space. When students answer five problems in a row correctly, they get a bingo. Problems show up on the side of the game and the bingo field is in the middle for students to ascertain answers.\nThe second game, called "Bubble Math," helps with arithmetic practice. The game allows students to think critically about multiplication and addition to arrive at an answer instead of repeating back multiplication tables with rote memory. Bubbles in the field have choices for students to fill in arithmetic problems.\nBoth the free and paid versio..

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What is an example of a segment addition postulate?

To determine the length of AB, one must subtract BC from AC. If the length of AC is 18 and the length of BC is 4, then using this formula yields 18 - 4 = 14, so the length of AB is 14.\nThis postulate also allows a line segment that has only two known points to be broken into two line segments with the addition of a third point in between the endpoints. This is useful for proofs in geometry and analysis.

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How do you calculate the yards of concrete?

Calculate the surface area of the project by measuring the length and width and multiplying them. If the project is not rectangular, use graph paper, and draw the surface. Divide it into smaller rectangles, and calculate the area of each. Then, add the areas together. For large projects such as driveways, it is usually easiest to measure length and width in feet. Convert any remaining inches in a measurement to a fraction of a foot by dividing them by 12. Convert the depth of concrete into feet, and multiply the surface area by the depth of the concrete.\nTo convert cubic feet to cubic yards, ..

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What does standard deviation measure?

The standard deviation is used to summarize continuous data. It can't be applied to categorical data. Normally, it is only appropriate when the data isn't significantly skewed or has outliers. The standard deviation was formulated by Galton in the 1860s. It is defined as the root-mean-square of the values from their mean, or as the square root of the variance.

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What is the point-slope form of an equation?

The slope is calculated by using two points on the line to find the change in y over the change in x. The slope is also based on the expression rise over run where the vertical change is divided by the horizontal change. The equation is called slope-intercept form because it is calculated with the value of the slope and value of a single point on the line, which can be used to find the y-intercept.

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